Thermodynamic Geometry and Deconfinement Temperature

TL;DR

This paper introduces a geometric approach to determine the deconfinement temperature in QCD, aligning well with lattice simulations when considering hadron interactions.

Contribution

It applies thermodynamic Riemannian geometry to QCD, providing a new method to estimate the critical deconfinement temperature.

Findings

Geometric method yields consistent $T_c$ estimates with lattice QCD.

Including hadron interactions improves the accuracy of the thermodynamic geometry approach.

The approach offers a novel perspective on phase transitions in QCD.

Abstract

The application of Riemannian geometry to the analysis of the equilibrium thermodynamics in Quantum Chromodynamics (QCD) at finite temperature and baryon density gives a new method to evaluate the critical temperature, $T_c$, of the deconfinement transition. In the confined phase, described by the thermodynamic geometry of the Hadron Resonance Gas, the estimate of $T_c$ turns out completely consistent with lattice QCD simulations of the quark-gluon plasma phase if the hadron excluded volume and the interaction effects are taken into account.